225 749 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
578538117630397751	18	59.0	old
9567977676190932303802168975413450208513	40	132.8	2021-06-14 03:10:41

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	518 / 640

Estimated T-Level: 29.0 ⓘ

TF below 2^91 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	18750D7AC190F424	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	18750D7AC190F424	1	221489	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	65F89CC3A92971F2	1	170306	5	3
Verified	2021-06-14	Daniil Tsarkov	65F89CC3A92971F2	2	194613	5	3
Verified	2021-06-14	Daniil Tsarkov	65F89CC3A92971F2	2	134283	5	3

P-1 factors

Date	Factor	B1	B2
2021-06-14	9567977676190932303802168975413450208513	30000000	3000000000

History

Date	User	Type	Result
2022-03-15	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-06-14	ANONYMOUS	CERT	PRP Certification Proof certified good
2021-06-14	Daniil Tsarkov	C-PRP	M225749/578538117630397751/9567977676190932303802168975413450208513 : 65F89CC3A92971F2 PRP proof power = 5 PRP: Verified Proof certified good
2021-06-14	Daniil Tsarkov	C-PRP	M225749/578538117630397751/9567977676190932303802168975413450208513 : 65F89CC3A92971F2 PRP proof power = 5 PRP: Verified PRP proof never uploaded
2021-06-14	Oliver Kruse	F-PM1	Factor: 9567977676190932303802168975413450208513 / (P-1, B1=30000000, B2=3000000000)
2020-04-17	Oliver Kruse	C-PRP	M225749/578538117630397751 : 65F89CC3A92971F2 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M225749/578538117630397751 : 18750D7AC190F424 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M225749/578538117630397751 : 18750D7AC190F424 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M225749/578538117630397751 : 18750D7AC190F424 PRP without proof (not generated)